3(x-6)-2=-2x+6

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Solution for 3(x-6)-2=-2x+6 equation:


Simplifying
3(x + -6) + -2 = -2x + 6

Reorder the terms:
3(-6 + x) + -2 = -2x + 6
(-6 * 3 + x * 3) + -2 = -2x + 6
(-18 + 3x) + -2 = -2x + 6

Reorder the terms:
-18 + -2 + 3x = -2x + 6

Combine like terms: -18 + -2 = -20
-20 + 3x = -2x + 6

Reorder the terms:
-20 + 3x = 6 + -2x

Solving
-20 + 3x = 6 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
-20 + 3x + 2x = 6 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-20 + 5x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-20 + 5x = 6 + 0
-20 + 5x = 6

Add '20' to each side of the equation.
-20 + 20 + 5x = 6 + 20

Combine like terms: -20 + 20 = 0
0 + 5x = 6 + 20
5x = 6 + 20

Combine like terms: 6 + 20 = 26
5x = 26

Divide each side by '5'.
x = 5.2

Simplifying
x = 5.2

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